A new approach to solve Cattaneo-Hristov diffusion model and fractional diffusion equations with Hilfer-Prabhakar derivative

DOI10.3934/math.2020057zbMath1484.35389MaRDI QIDQ2132833

Kanak Modi, Devendra Kumar, Yudhveer Singh, Vinod Gill

Publication date: 28 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

zbMATH Keywords

fractional diffusion equationCaputo-Fabrizio fractional derivativeElzaki transformCattaneo-Hristov diffusion equationHilfer-Prabhakar fractional derivative

Mathematics Subject Classification ID

Fractional partial differential equations (35R11)

Related Items

Convective flow of a fractional second grade fluid containing different nanoparticles with Prabhakar fractional derivative subject to non‐uniform velocity at the boundary

Uses Software

• ma2dfc

Cites Work

• Unnamed Item
• Unnamed Item
• Hilfer-Prabhakar derivatives and some applications
• The asymptotics of the solutions to the anomalous diffusion equations
• Stokes' first problem for heated flat plate with Atangana-Baleanu fractional derivative
• Optimal exponent heat balance and refined integral methods applied to Stefan problems
• Generalized mittag-leffler function and generalized fractional calculus operators
• On the Atangana–Baleanu Derivative and Its Relation to the Fading Memory Concept: The Diffusion Equation Formulation
• Fractional Calculus: Integral and Differential Equations of Fractional Order
• Exponential form for Lyapunov function and stability analysis of the fractional differential equations